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13022213121120 = 253573875658667
BaseRepresentation
bin1011110101111111100001…
…1000110010010001100000
31201002220121102101222222010
42331133320120302101200
53201323443024333440
643410153324512520
72512552403123430
oct275377030622140
951086542358863
1013022213121120
114170764900435
1215639609ab740
13735cb2a09a78
143303c82022c0
15178b0e862580
hexbd7f8632460

13022213121120 has 96 divisors (see below), whose sum is σ = 46879967248128. Its totient is φ = 2976505855488.

The previous prime is 13022213121097. The next prime is 13022213121121. The reversal of 13022213121120 is 2112131222031.

13022213121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022213121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937825974 + ... + 1937832693.

It is an arithmetic number, because the mean of its divisors is an integer number (488332992168).

Almost surely, 213022213121120 is an apocalyptic number.

13022213121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022213121120 is an abundant number, since it is smaller than the sum of its proper divisors (33857754127008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022213121120 is a wasteful number, since it uses less digits than its factorization.

13022213121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875658692 (or 3875658684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13022213121120 its reverse (2112131222031), we get a palindrome (15134344343151).

The spelling of 13022213121120 in words is "thirteen trillion, twenty-two billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3875658667 7751317334 11626976001 15502634668 19378293335 23253952002 27129610669 31005269336 38756586670 46507904004 54259221338 58134880005 62010538672 77513173340 81388832007 93015808008 108518442676 116269760010 124021077344 135648053345 155026346680 162777664014 186031616016 217036885352 232539520020 271296106690 310052693360 325555328028 372063232032 406944160035 434073770704 465079040040 542592213380 620105386720 651110656056 813888320070 868147541408 930158080080 1085184426760 1302221312112 1627776640140 1860316160160 2170368853520 2604442624224 3255553280280 4340737707040 6511106560560 13022213121120